General electives can be selected from all the courses offered at Koç University.

MATH 565 / GRAPH THEORY
Sınıf: Credit: 4Precondition:

Matchings, edge colorings and vertex colorings of graphs. Connectivity, spanning trees, and disjoint paths in graphs. Cycles in graphs, embeddings. Planar graphs, directed graphs. Ramsey Theory, matroids, random graphs.

MATH 566 / TOPICS IN MODULE AND RING THEORY
Sınıf: Credit: 3Precondition:

Generalities on modules, categories, and functors. The socle and the Jacobson radical of a module. Semisimple modules. Chain conditions on modules. The Hopkins-Levitzki Theorem. The Wedderburn-Artin Theorem and its applications toM linear representations of finite groups. The ?Hom? functors and exactness. Injective modules. Essential monomorphisms, injective hulls. Projective modules. Superfluous epimorphisms, projective covers. Indecomposable direct sum decompositions of modules. The Krull-Remak-Schmidt-Azumaya Theorem. Krull dimension and Goldie dimension of modules and lattices.

MATH 571 / TOPOLOGY
Sınıf: Credit: 4Precondition:

Topological spaces, subspaces, continuous functions, base for a topology, separation axioms, compactness, locally compact spaces, connectedness, path connectedness, finite product spaces, set theory and Zorn?s lemma, infinite product spaces, quotient spaces, homotopic paths, the fundamental group,induced homomorphisms, covering spaces, applications of the index, homotopic maps, maps into the punctured plane, vector fields, the Jordan curve theorem.

MATH 572 / ALGEBRAIC TOPOLOGY
Sınıf: Credit: 4Precondition:

Fundamental group, Seifert-van Kampen theorem, CW complexes, covering spaces and deck transformations; simplicial and singular homology, homotopy invariance, exact sequences and excision, cellular homology, Mayer-Vietoris sequences; cohomology, universal coefficient theorem, cup product, Kunneth formula, orientation, Poincare duality.

MATH 579 / READINGS IN MATHEMATICS
Sınıf: Credit: 1Precondition:

Literature survey and presentation on a subject determined by the instructor.

MATH 584 / SELECTED TOPICS IN ANALYSIS&ALGEBRATIC NUBERS
Sınıf: Credit: 3Precondition:

MATH 590 / GRADUATE SEMINAR
Sınıf: Credit: 0Precondition:

MATH 591 / THESIS
Sınıf: Credit: 0Precondition:

MATH 592 / TERM PROJECT
Sınıf: Credit: 0Precondition:

Individual term project accompanied with the advisor.

MATH 695 / PHD THESIS
Sınıf: Credit: 0Precondition:

TEAC 500 / TEACHING EXPERIENCE
Sınıf: Credit: 0Precondition:

Provides hands-on teaching experience to graduate students in undergraduate courses. Reinforces students' understanding of basic concepts and allows them to communicate and apply their knowledge of the subject matter.

CHBI 410 / INDUSTRIAL MICROBIOLOGY
Sınıf: Credit: 3Precondition: CHBI. 300 or consent of the instructor

Key aspects of microbial physiology; exploring the versatility of microorganisms and their diverse metabolic activities and products; industrial microorganisms and the technology required for large-scale cultivation.

CHBI 506 / BIOINFORMATICS
Sınıf: Credit: 3Precondition:

The principles and computational methods to study the biological data generated by genome sequencing, gene expressions, protein profiles, and metabolic fluxes. Application of arithmetic, algebraic, graph, pattern matching, sorting and searching algorithms and statistical tools to genome analysis. Applications of Bioinformatics to metabolic engineering, drug design, and biotechnology.

CHBI 510 / INDUSTRIAL MICROBIOLOGY
Sınıf: Credit: 3Precondition:

Key aspects of microbial physiology; exploring the versatility of microorganisms and their diverse metabolic activities and products; industrial microorganisms and the technology required for large-scale cultivation.

CHBI 516 / BIOTECHNOLOGY
Sınıf: Credit: 3Precondition:

Recombinant DNA, enzymes and other biomolecules. Molecular genetics. Commercial use of microorganisms. Cellular reactors; bioseparation techniques. Transgenic systems. Gene therapy. Biotechnology applications in environmental, agricultural and pharmaceutical problems.

CHBI 584 / TISSUE ENGINEERING
Sınıf: Credit: 3Precondition:

The fundamentals of tissue engineering at the molecular and cellular level; techniques in tissue engineering; problems and solution in tissue engineering; transplantation of tissues in biomedicine using sophisticated equipments and materials; investigation of methods for the preparation of component of cell, effect of growth factors on tissues.

CMSE 520 / BIOMOLECULAR STRUCTURE, FUNCTION AND DYNAMICS
Sınıf: Credit: 3Precondition: CMSE. 501 or consent of the instructor

Relationship between structure, function and dynamics in biomolecules. Overview of the biomolecular databases and application of computational methods to understand molecular interactions; networks. Principles of computational modeling and molecular dynamics of biological systems.

ENGL 500 / ACADEMIC WRITING
Sınıf: Credit: 0Precondition:

The following objectives will be met through extensive reading, writing and discussion both in and out of class.Build a solid background in academic discourse, both written and spoken. Improve intensive and extensive critical reading skills. Foster critical and creative thinking. Build fundamental academic writing skills including summary, paraphrase, analysis, synthesis. Master cohesiveness as well as proper academic citation when incorporating the work of others.

MASE 542 / BIOMATERIALS
Sınıf: Credit: 3Precondition:

Materials for biomedical applications; synthetic polymers, metals and composite materials as biomaterials; biopolymers, dendrimers, hydrogels, polyelectrolytes, drug delivery systems, implants, tissue grafts, dental materials, ophthalmic materials, surgical materials, imaging materials.

MBGE 403 / TOPICS IN BIOENERGETICS
Sınıf: Credit: 3Precondition: MBGE. 204 or consent of the instructor

How do cells generate, store, and use the energy that they require? This course will cover in great depth the processes of oxidative phosphorylation, glycolysis, and photosynthesis. In addition, energy acquisition by chemotrophic organisms will be discussed.

MBGE 404 / IMMUNOLOGY
Sınıf: Credit: 3Precondition: MBGE. 204 or consent of the instructor

Molecular details of the innate and adaptive immune systems. Subject areas will include immune recognition, immunosuppression, communication between different immune system cell types, and autoimmunity.

MBGE 405 / POST-TRANSCRIPTIONAL GENE REGULATION
Sınıf: Credit: 3Precondition: MBGE. 301 or consent of the instructor

The key areas of RNA biology, structure and function; splicing, polyadenylation, transport, translation and decay of mRNAs; the regulatory mechanisms governed by noncoding RNAs such as siRNAs, miRNAs and long noncoding RNAs.

MBGE 407 / PARASITOLOGY
Sınıf: Credit: 3Precondition: MBGE. 301 or consent of the instructor

This course covers the cell and molecular biology of pathogenic organisms, such as malaria, trypanosomes, toxoplasma, and parasitic yeast. Topics will include organism life cycles, host invasion strategies, methods of immune system evasion, and the evolution of parasites.

MBGE 408 / PROTEOMICS AND PROTEIN CHEMISTRY
Sınıf: Credit: 3Precondition: MBGE. 204 or consent of the instructor

Proteomics and function, fundamentals of mass spectrometry (MS), tandem MS, chemical and posttranslational modifications, protein identification, data mining, protein complexes, protein folding, MS genotyping, high throughput; recently developed proteomics methods and their applications; focus on the recent scientific literature in this field including quantitative comparison of healthy and disease proteomes, the comprehensive analysis of protein-protein interactions in different cell types, and new approaches to analyze cellular signaling pathways and the subcellular-organelle and cell surface proteomes.